Quiz 6 Flashcards
(36 cards)
Comparison of oxygen solubility to other elements (3)
Oxygen is not very soluble in water (at max saturation, there is only ~14.6mg/L of oxygen in water) that’s 0.7g per kg
Some elements like CO2, NO, NH3, Cl2, and H2S are more soluble (NO, NH3, Cl2, and H2S are all very soluble and very toxic)
(NH3 is 900g per kg, and H2S is 7g per kg)
Other elements like CO, CH4, and N2 are less soluble (N2 is 0.3g per kg)
What is the equilibrium or saturation concentration (Cs) of a gas dissolved in a liquid a function of? (2)
The type of gas
The partial pressure of the gas in contact with the liquid
Henry’s Law for Dissolved Gases (4)
The solubility of a gas in a liquid depends on:
Temperature
The partial pressure of the gas at the surface of the liquid
The nature of the solvent
The nature of the gas
Partial pressure example (5)
When a can of Coke is bottled, it’s partial pressure is set at a high value
When the can is opened, the partial pressure of CO2 becomes much lower
The dissolved CO2 then bubbles out of the supersaturated liquid, escaping from the can
When the new low partial pressure equilibrium is established, the Coke will be flat
If the Coke is warm, the dissolved CO2 will be lost more quickly
What limits gas solubility?
Gas solubility is always limited by the equilibrium between the gas and saturated solution
Partial pressure and gas solubility (4)
When the temperature, nature of the solvent, and the nature of the gas remain constant, the concentration of dissolved gas depends on the partial pressure of the gas
This is because the partial pressure controls the number of gas molecule collisions with the surface of the solution
If the partial pressure is doubled, the number of collisions with the surface of the solution will double
This increase in number of collisions produces more dissolved gas
Two film theory of gas transfer equation (2)
Valid for quiescent and turbulent conditions
dc/dt = 1/V dm/dt = KLA/V(Cs-CL) = KLA(Cs-CL)
KL
Liquid film coefficient (m/hr)
A
Interfacial or absorbing
surface area of air (m2)
V
Volume of the liquid (m3)
CL
Average concentration of dissolved oxygen in bulk liquid (mg/L)
Cs
Saturation value of dissolved oxygen at the interface between liquid and air bubble (mg/L)
a
= A/V = the interfacial surface area of the air through with diffusion can occur generated by the particular aeration system per unit volume of water (m2/m3)
KLa (2)
Overall oxygen transfer coefficient
Takes into account velocity and area to volume
What are the 4 key factors that influence gas transfer in terms of the Two-Film Theory Equation?
KL
a
(Cs-CL)
What 7 principles do we need to consider when dissolving oxygen in water?
Salinity - solubility decreases with increasing salinity
Temperature - solubility decreases with increasing temperature
Pressure - solubility decreases with decreasing pressure
Turbulence - KL increases with increasing turbulence
Surface area - a increases with smaller bubbles as surface area increases
Concentration gradient - Cs increases with higher concentrations of oxygen
Average concentration - CL influenced by salinity, temperature and pressure
Main list of factors influencing the transfer of dissolved oxygen into water (11)
Many more factors, but need to know for engineers, not us
Water temperature Depth of gas release Contact time of gas bubble in water Size of gas bubble Rate of gas flow Type of diffuser Orifice diameter Oxygen concentration gradient
Elevation - pressure
Turbulence
Salinity
In lake and reservoir aeration we only need to know… (4)
How to manipulate the three core factors we can control
KL - the hydrodynamics of the system to influence KL (use a lot of turbulence)
a - the area of contact between the gas and liquid (use small bubbles)
(Cs-CL) - the concentration gradient between the gas and liquid phase (use pure oxygen if it makes economic and logistic sense)
Measuring gas transfer (4)
There are 4 standard terms used to measure the transfer of oxygen into water:
KLa20 = overall oxygen transfer coefficient (per hour) SOTR = standard oxygen transfer rate (gO2/hr) SAE = standard aeration efficiency (how much energy did you use?) (gO2 kW/hr) SOTE = standard oxygen transfer efficiency (how much gas was transferred?) (%)
Trade off with measuring gas transfer (2)
If one standard term to measure gas transfer is increased, it will likely decrease another term
Performance depends on what you are looking for - if increasing SAE is the goal, then the decreasing of SOTE won’t be a problem etc.
Rule 1 for measuring gas transfer (2)
Rule 1: KLa and SOTR increase with flow rate and depth
SAE and SOTE increase with depth, decrease with flow rate
Rule 2 for measuring gas transfer (2)
KLa, SOTR, SOTE increase with partial pressure
SAE decreases with increase in partial pressure
Rule 3 for measuring gas transfer
KLa, SOTR, SAE, and SOTE increase with decrease in orifice size
What are the 4 levers you have to influence oxygen transfer? (5)
Gas flow rate (which influences KL and a)
Depth of release (which influences Cs-CL)
Partial pressure of oxygen (which influences KL, a, and Cs-CL)
Orifice size (which influences KL and a)
All affect KLa(Cs-CL)